首页|Revisting High-Resolution Schemes with van Albada Slope Limiter
Revisting High-Resolution Schemes with van Albada Slope Limiter
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Slope limiters play an essential role in maintaining the non-oscillatory behavior of high-resolution methods for nonlinear conservation laws.The family of minmod limiters serves as the prototype example.Here,we revisit the question of non-oscillatory behavior of high-resolution central schemes in terms of the slope limiter proposed by van Albada et al.(Astron Astrophys 108:76-84,1982).The van Albada(vA)limiter is smoother near extrema,and consequently,in many cases,it outperforms the results obtained using the standard minmod limiter.In particular,we prove that the vA limiter ensures the one-dimensional Total-Variation Diminishing(TVD)stability and demonstrate that it yields noticeable improvement in computation of one-and two-dimensional systems.
High resolutionLimitersTotal-Variation Diminishing(TVD)stabilityCentral schemes
Jingcheng Lu、Eitan Tadmor
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Department of Mathematics,University of Maryland,College Park,MD,USA
School of Mathematics,University of Minnesota,Minneapolis,MN,USA
Department of Mathematics and Institute for Physical Sciences and Technology,University of Maryland,College Park,MD,USA
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